the Fatwa Department Research Committee - chaired by Sheikh `Abd al-Wahhâb al-Turayrî
There is no difference between what you describe as "permanent cosmetics" and having a tattoo. Indeed, permanent cosmetics are nothing more than sophisticated permanent tattoos that give the appearance of conventional cosmetics.
The reason Islam forbids tattooing is that tatoos are a way of altering Allah’s creation. Allah relates to us that Satan says: “And I shall command them and they will alter Allah’s creation.” [Sûrah al-Nisâ':119].
Tattooing is unlawful in Islam. The Prophet (peace be upon him) said: “Allah has cursed the one who gives another a tattoo and the one who receives it.” [Sahîh al-Bukhârî and Sahîh Muslim]
Possibly, such cosmetic procedures might be permitted to the same extent that plastic surgery is permitted, to remove genuine deformities and to help reconstruct a normal appearance after an accident or to remove the visible effects of an operation or of a disease.
However, these cosmetics would not be permitted for purely cosmetic reasons or to alter one's natural appearance.
And Allah knows best.
Source: Islam Today